Even with all the huffing and puffing of recent weeks, the House that Ruth Built shows no signs of being blown down any time soon.

The same goes for the home of the Mets.

According to the city Department of Parks and Recreation, recent inspections have shown Yankee and Shea stadiums to be “structurally sound” for at least another 10 years.

A spokesperson for the department, which serves as landlord for the stadiums, based the assessments on annual safety inspections conducted by the Department of Design and Construction and comprehensive inspections by private engineering firms over the past three years.

The department, however, declined to provide the dates and full results of the inspections and could not confirm a schedule for upcoming inspections.

An official with one of the engineering firms that conducted informal inspections of both stadiums backed the Parks Department’s assessment.

“Except for a few small matters of upkeep, Yankee and Shea stadiums are in decent shape from a structural point of view,” said the official, who declined to be identified.

“They should have no trouble remaining operable for at least another decade,” he said.

The assessment comes just weeks after a Yankee official told The Post that to “really upgrade [Yankee Stadium], you’ve really got to start from scratch.”

The stadiums have been a source of heated debate in recent weeks as a result of a Dec. 28 deal signed by then-Mayor Rudy Giuliani that provisionally committed $800 million in taxpayer funds toward the construction of new stadiums.

But since taking the helm at City Hall, Mayor Bloomberg has made it clear there’s no guarantee of any city-funded stadium construction for either team. Bloomberg has suggested that the Yankees and Mets explore upgrading their existing stadiums.